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Finding the Fourth Proportional to 35,683.38, 49,253.22 and 21,537.14

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Solution

The fourth proportional to 35,683.38, 49,253.22 and 21,537.14 is: 29,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683.38 : 49,253.22 = 21,537.14 : x
  2. Step 2: Convert to fraction form
    35,683.38/49,253.22 = 21,537.14/x
  3. Step 3: Cross multiply
    35,683.38x = 49,253.22 × 21,537.14
  4. Step 4: Simplify right side
    35,683.38x = 1,060,773,248.32
  5. Step 5: Solve for x
    x = 1,060,773,248.32/35,683.38
  6. Step 6: Final answer
    x = 29,727.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.